Finding the Third Proportional to 35,192 and 78,253

Step by Step Solution

1. Step 1: Write the proportion equation
   35,192 : 78,253 = 78,253 : x
2. Step 2: Convert to fraction form
   35,192/78,253 = 78,253/x
3. Step 3: Cross multiply
   35,192x = 78,253 × 78,253
4. Step 4: Simplify right side
   35,192x = 6,123,532,009
5. Step 5: Solve for x
   x = 6,123,532,009/35,192
6. Step 6: Final answer
   x = 174,003.52