Finding the Third Proportional to 99,666 and 152,613

Step by Step Solution

1. Step 1: Write the proportion equation
   99,666 : 152,613 = 152,613 : x
2. Step 2: Convert to fraction form
   99,666/152,613 = 152,613/x
3. Step 3: Cross multiply
   99,666x = 152,613 × 152,613
4. Step 4: Simplify right side
   99,666x = 23,290,727,769
5. Step 5: Solve for x
   x = 23,290,727,769/99,666
6. Step 6: Final answer
   x = 233,687.79