Finding the Third Proportional to 307,815 and 462,613.50

Step by Step Solution

1. Step 1: Write the proportion equation
   307,815 : 462,613.50 = 462,613.50 : x
2. Step 2: Convert to fraction form
   307,815/462,613.50 = 462,613.50/x
3. Step 3: Cross multiply
   307,815x = 462,613.50 × 462,613.50
4. Step 4: Simplify right side
   307,815x = 214,011,250,382.25
5. Step 5: Solve for x
   x = 214,011,250,382.25/307,815
6. Step 6: Final answer
   x = 695,259.33