Finding the Third Proportional to 35,192 and 78,254

Step by Step Solution

1. Step 1: Write the proportion equation
   35,192 : 78,254 = 78,254 : x
2. Step 2: Convert to fraction form
   35,192/78,254 = 78,254/x
3. Step 3: Cross multiply
   35,192x = 78,254 × 78,254
4. Step 4: Simplify right side
   35,192x = 6,123,688,516
5. Step 5: Solve for x
   x = 6,123,688,516/35,192
6. Step 6: Final answer
   x = 174,007.97