Finding the Third Proportional to 92,506 and 139,164

Step by Step Solution

1. Step 1: Write the proportion equation
   92,506 : 139,164 = 139,164 : x
2. Step 2: Convert to fraction form
   92,506/139,164 = 139,164/x
3. Step 3: Cross multiply
   92,506x = 139,164 × 139,164
4. Step 4: Simplify right side
   92,506x = 19,366,618,896
5. Step 5: Solve for x
   x = 19,366,618,896/92,506
6. Step 6: Final answer
   x = 209,355.27