Finding the Third Proportional to 52,008 and 78,528

Step by Step Solution

1. Step 1: Write the proportion equation
   52,008 : 78,528 = 78,528 : x
2. Step 2: Convert to fraction form
   52,008/78,528 = 78,528/x
3. Step 3: Cross multiply
   52,008x = 78,528 × 78,528
4. Step 4: Simplify right side
   52,008x = 6,166,646,784
5. Step 5: Solve for x
   x = 6,166,646,784/52,008
6. Step 6: Final answer
   x = 118,571.12