Finding the Third Proportional to 185,557.50 and 413,613

Step by Step Solution

1. Step 1: Write the proportion equation
   185,557.50 : 413,613 = 413,613 : x
2. Step 2: Convert to fraction form
   185,557.50/413,613 = 413,613/x
3. Step 3: Cross multiply
   185,557.50x = 413,613 × 413,613
4. Step 4: Simplify right side
   185,557.50x = 171,075,713,769
5. Step 5: Solve for x
   x = 171,075,713,769/185,557.50
6. Step 6: Final answer
   x = 921,955.26