Finding the Third Proportional to 57,730 and 156,961

Step by Step Solution

1. Step 1: Write the proportion equation
   57,730 : 156,961 = 156,961 : x
2. Step 2: Convert to fraction form
   57,730/156,961 = 156,961/x
3. Step 3: Cross multiply
   57,730x = 156,961 × 156,961
4. Step 4: Simplify right side
   57,730x = 24,636,755,521
5. Step 5: Solve for x
   x = 24,636,755,521/57,730
6. Step 6: Final answer
   x = 426,758.28