Finding the Third Proportional to 347,580 and 525,060

Step by Step Solution

1. Step 1: Write the proportion equation
   347,580 : 525,060 = 525,060 : x
2. Step 2: Convert to fraction form
   347,580/525,060 = 525,060/x
3. Step 3: Cross multiply
   347,580x = 525,060 × 525,060
4. Step 4: Simplify right side
   347,580x = 275,688,003,600
5. Step 5: Solve for x
   x = 275,688,003,600/347,580
6. Step 6: Final answer
   x = 793,164.17