Finding the Third Proportional to 828,434,217 and 1,286,302,054.50

Step by Step Solution

1. Step 1: Write the proportion equation
   828,434,217 : 1,286,302,054.50 = 1,286,302,054.50 : x
2. Step 2: Convert to fraction form
   828,434,217/1,286,302,054.50 = 1,286,302,054.50/x
3. Step 3: Cross multiply
   828,434,217x = 1,286,302,054.50 × 1,286,302,054.50
4. Step 4: Simplify right side
   828,434,217x = 1,654,572,975,410,920,960
5. Step 5: Solve for x
   x = 1,654,572,975,410,920,960/828,434,217
6. Step 6: Final answer
   x = 1,997,229,160.09