Finding the Third Proportional to 307,140 and 465,007.50

Step by Step Solution

1. Step 1: Write the proportion equation
   307,140 : 465,007.50 = 465,007.50 : x
2. Step 2: Convert to fraction form
   307,140/465,007.50 = 465,007.50/x
3. Step 3: Cross multiply
   307,140x = 465,007.50 × 465,007.50
4. Step 4: Simplify right side
   307,140x = 216,231,975,056.25
5. Step 5: Solve for x
   x = 216,231,975,056.25/307,140
6. Step 6: Final answer
   x = 704,017.63