Finding the Third Proportional to 100,542 and 147,429.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,542 : 147,429.50 = 147,429.50 : x
2. Step 2: Convert to fraction form
   100,542/147,429.50 = 147,429.50/x
3. Step 3: Cross multiply
   100,542x = 147,429.50 × 147,429.50
4. Step 4: Simplify right side
   100,542x = 21,735,457,470.25
5. Step 5: Solve for x
   x = 21,735,457,470.25/100,542
6. Step 6: Final answer
   x = 216,182.86