Finding the Third Proportional to 181,596 and 370,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   181,596 : 370,567.50 = 370,567.50 : x
2. Step 2: Convert to fraction form
   181,596/370,567.50 = 370,567.50/x
3. Step 3: Cross multiply
   181,596x = 370,567.50 × 370,567.50
4. Step 4: Simplify right side
   181,596x = 137,320,272,056.25
5. Step 5: Solve for x
   x = 137,320,272,056.25/181,596
6. Step 6: Final answer
   x = 756,185.56