Finding the Third Proportional to 78,410 and 117,792

Step by Step Solution

1. Step 1: Write the proportion equation
   78,410 : 117,792 = 117,792 : x
2. Step 2: Convert to fraction form
   78,410/117,792 = 117,792/x
3. Step 3: Cross multiply
   78,410x = 117,792 × 117,792
4. Step 4: Simplify right side
   78,410x = 13,874,955,264
5. Step 5: Solve for x
   x = 13,874,955,264/78,410
6. Step 6: Final answer
   x = 176,953.90