Finding the Third Proportional to 35,624 and 78,358

Step by Step Solution

1. Step 1: Write the proportion equation
   35,624 : 78,358 = 78,358 : x
2. Step 2: Convert to fraction form
   35,624/78,358 = 78,358/x
3. Step 3: Cross multiply
   35,624x = 78,358 × 78,358
4. Step 4: Simplify right side
   35,624x = 6,139,976,164
5. Step 5: Solve for x
   x = 6,139,976,164/35,624
6. Step 6: Final answer
   x = 172,355.05