Finding the Third Proportional to 78,076 and 169,264

Step by Step Solution

1. Step 1: Write the proportion equation
   78,076 : 169,264 = 169,264 : x
2. Step 2: Convert to fraction form
   78,076/169,264 = 169,264/x
3. Step 3: Cross multiply
   78,076x = 169,264 × 169,264
4. Step 4: Simplify right side
   78,076x = 28,650,301,696
5. Step 5: Solve for x
   x = 28,650,301,696/78,076
6. Step 6: Final answer
   x = 366,954.02