Finding the Third Proportional to 100,899 and 152,116.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,899 : 152,116.50 = 152,116.50 : x
2. Step 2: Convert to fraction form
   100,899/152,116.50 = 152,116.50/x
3. Step 3: Cross multiply
   100,899x = 152,116.50 × 152,116.50
4. Step 4: Simplify right side
   100,899x = 23,139,429,572.25
5. Step 5: Solve for x
   x = 23,139,429,572.25/100,899
6. Step 6: Final answer
   x = 229,332.60