Finding the Third Proportional to 78,336 and 117,528

Step by Step Solution

1. Step 1: Write the proportion equation
   78,336 : 117,528 = 117,528 : x
2. Step 2: Convert to fraction form
   78,336/117,528 = 117,528/x
3. Step 3: Cross multiply
   78,336x = 117,528 × 117,528
4. Step 4: Simplify right side
   78,336x = 13,812,830,784
5. Step 5: Solve for x
   x = 13,812,830,784/78,336
6. Step 6: Final answer
   x = 176,328.01