Finding the Third Proportional to 76,352 and 109,968

Step by Step Solution

1. Step 1: Write the proportion equation
   76,352 : 109,968 = 109,968 : x
2. Step 2: Convert to fraction form
   76,352/109,968 = 109,968/x
3. Step 3: Cross multiply
   76,352x = 109,968 × 109,968
4. Step 4: Simplify right side
   76,352x = 12,092,961,024
5. Step 5: Solve for x
   x = 12,092,961,024/76,352
6. Step 6: Final answer
   x = 158,384.34