Finding the Third Proportional to 83,294 and 132,472.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,294 : 132,472.50 = 132,472.50 : x
2. Step 2: Convert to fraction form
   83,294/132,472.50 = 132,472.50/x
3. Step 3: Cross multiply
   83,294x = 132,472.50 × 132,472.50
4. Step 4: Simplify right side
   83,294x = 17,548,963,256.25
5. Step 5: Solve for x
   x = 17,548,963,256.25/83,294
6. Step 6: Final answer
   x = 210,687.00