Finding the Third Proportional to 82,377 and 120,649.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,377 : 120,649.50 = 120,649.50 : x
2. Step 2: Convert to fraction form
   82,377/120,649.50 = 120,649.50/x
3. Step 3: Cross multiply
   82,377x = 120,649.50 × 120,649.50
4. Step 4: Simplify right side
   82,377x = 14,556,301,850.25
5. Step 5: Solve for x
   x = 14,556,301,850.25/82,377
6. Step 6: Final answer
   x = 176,703.47