Finding the Third Proportional to 65,946 and 102,264

Step by Step Solution

1. Step 1: Write the proportion equation
   65,946 : 102,264 = 102,264 : x
2. Step 2: Convert to fraction form
   65,946/102,264 = 102,264/x
3. Step 3: Cross multiply
   65,946x = 102,264 × 102,264
4. Step 4: Simplify right side
   65,946x = 10,457,925,696
5. Step 5: Solve for x
   x = 10,457,925,696/65,946
6. Step 6: Final answer
   x = 158,583.17