Finding the Third Proportional to 35,745 and 78,156

Step by Step Solution

1. Step 1: Write the proportion equation
   35,745 : 78,156 = 78,156 : x
2. Step 2: Convert to fraction form
   35,745/78,156 = 78,156/x
3. Step 3: Cross multiply
   35,745x = 78,156 × 78,156
4. Step 4: Simplify right side
   35,745x = 6,108,360,336
5. Step 5: Solve for x
   x = 6,108,360,336/35,745
6. Step 6: Final answer
   x = 170,887.13