Finding the Third Proportional to 156,580 and 342,688

Step by Step Solution

1. Step 1: Write the proportion equation
   156,580 : 342,688 = 342,688 : x
2. Step 2: Convert to fraction form
   156,580/342,688 = 342,688/x
3. Step 3: Cross multiply
   156,580x = 342,688 × 342,688
4. Step 4: Simplify right side
   156,580x = 117,435,065,344
5. Step 5: Solve for x
   x = 117,435,065,344/156,580
6. Step 6: Final answer
   x = 750,000.42