Finding the Third Proportional to 100,609 and 141,012.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,609 : 141,012.50 = 141,012.50 : x
2. Step 2: Convert to fraction form
   100,609/141,012.50 = 141,012.50/x
3. Step 3: Cross multiply
   100,609x = 141,012.50 × 141,012.50
4. Step 4: Simplify right side
   100,609x = 19,884,525,156.25
5. Step 5: Solve for x
   x = 19,884,525,156.25/100,609
6. Step 6: Final answer
   x = 197,641.61