Finding the Third Proportional to 49,352 and 78,492

Step by Step Solution

1. Step 1: Write the proportion equation
   49,352 : 78,492 = 78,492 : x
2. Step 2: Convert to fraction form
   49,352/78,492 = 78,492/x
3. Step 3: Cross multiply
   49,352x = 78,492 × 78,492
4. Step 4: Simplify right side
   49,352x = 6,160,994,064
5. Step 5: Solve for x
   x = 6,160,994,064/49,352
6. Step 6: Final answer
   x = 124,837.78