Finding the Third Proportional to 78,377 and 112,035

Step by Step Solution

1. Step 1: Write the proportion equation
   78,377 : 112,035 = 112,035 : x
2. Step 2: Convert to fraction form
   78,377/112,035 = 112,035/x
3. Step 3: Cross multiply
   78,377x = 112,035 × 112,035
4. Step 4: Simplify right side
   78,377x = 12,551,841,225
5. Step 5: Solve for x
   x = 12,551,841,225/78,377
6. Step 6: Final answer
   x = 160,147.00