Finding the Third Proportional to 105,042.50 and 151,002.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,042.50 : 151,002.50 = 151,002.50 : x
2. Step 2: Convert to fraction form
   105,042.50/151,002.50 = 151,002.50/x
3. Step 3: Cross multiply
   105,042.50x = 151,002.50 × 151,002.50
4. Step 4: Simplify right side
   105,042.50x = 22,801,755,006.25
5. Step 5: Solve for x
   x = 22,801,755,006.25/105,042.50
6. Step 6: Final answer
   x = 217,071.71