Finding the Third Proportional to 100,899 and 152,117

Step by Step Solution

1. Step 1: Write the proportion equation
   100,899 : 152,117 = 152,117 : x
2. Step 2: Convert to fraction form
   100,899/152,117 = 152,117/x
3. Step 3: Cross multiply
   100,899x = 152,117 × 152,117
4. Step 4: Simplify right side
   100,899x = 23,139,581,689
5. Step 5: Solve for x
   x = 23,139,581,689/100,899
6. Step 6: Final answer
   x = 229,334.10