Finding the Third Proportional to 72,414 and 101,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,414 : 101,164.50 = 101,164.50 : x
2. Step 2: Convert to fraction form
   72,414/101,164.50 = 101,164.50/x
3. Step 3: Cross multiply
   72,414x = 101,164.50 × 101,164.50
4. Step 4: Simplify right side
   72,414x = 10,234,256,060.25
5. Step 5: Solve for x
   x = 10,234,256,060.25/72,414
6. Step 6: Final answer
   x = 141,329.80