Finding the Third Proportional to 72,294 and 156,684

Step by Step Solution

1. Step 1: Write the proportion equation
   72,294 : 156,684 = 156,684 : x
2. Step 2: Convert to fraction form
   72,294/156,684 = 156,684/x
3. Step 3: Cross multiply
   72,294x = 156,684 × 156,684
4. Step 4: Simplify right side
   72,294x = 24,549,875,856
5. Step 5: Solve for x
   x = 24,549,875,856/72,294
6. Step 6: Final answer
   x = 339,583.86