Finding the Third Proportional to 347,580 and 510,091.50

Step by Step Solution

1. Step 1: Write the proportion equation
   347,580 : 510,091.50 = 510,091.50 : x
2. Step 2: Convert to fraction form
   347,580/510,091.50 = 510,091.50/x
3. Step 3: Cross multiply
   347,580x = 510,091.50 × 510,091.50
4. Step 4: Simplify right side
   347,580x = 260,193,338,372.25
5. Step 5: Solve for x
   x = 260,193,338,372.25/347,580
6. Step 6: Final answer
   x = 748,585.47