Finding the Third Proportional to 191,144.25 and 415,516.50

Step by Step Solution

1. Step 1: Write the proportion equation
   191,144.25 : 415,516.50 = 415,516.50 : x
2. Step 2: Convert to fraction form
   191,144.25/415,516.50 = 415,516.50/x
3. Step 3: Cross multiply
   191,144.25x = 415,516.50 × 415,516.50
4. Step 4: Simplify right side
   191,144.25x = 172,653,961,772.25
5. Step 5: Solve for x
   x = 172,653,961,772.25/191,144.25
6. Step 6: Final answer
   x = 903,265.27