Finding the Third Proportional to 100,897 and 152,113.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,897 : 152,113.50 = 152,113.50 : x
2. Step 2: Convert to fraction form
   100,897/152,113.50 = 152,113.50/x
3. Step 3: Cross multiply
   100,897x = 152,113.50 × 152,113.50
4. Step 4: Simplify right side
   100,897x = 23,138,516,882.25
5. Step 5: Solve for x
   x = 23,138,516,882.25/100,897
6. Step 6: Final answer
   x = 229,328.10