Finding the Third Proportional to 202,164,205.50 and 288,897,333.50

Step by Step Solution

1. Step 1: Write the proportion equation
   202,164,205.50 : 288,897,333.50 = 288,897,333.50 : x
2. Step 2: Convert to fraction form
   202,164,205.50/288,897,333.50 = 288,897,333.50/x
3. Step 3: Cross multiply
   202,164,205.50x = 288,897,333.50 × 288,897,333.50
4. Step 4: Simplify right side
   202,164,205.50x = 83,461,669,303,410,224
5. Step 5: Solve for x
   x = 83,461,669,303,410,224/202,164,205.50
6. Step 6: Final answer
   x = 412,840,982.89