Finding the Third Proportional to 78,090 and 114,543

Step by Step Solution

1. Step 1: Write the proportion equation
   78,090 : 114,543 = 114,543 : x
2. Step 2: Convert to fraction form
   78,090/114,543 = 114,543/x
3. Step 3: Cross multiply
   78,090x = 114,543 × 114,543
4. Step 4: Simplify right side
   78,090x = 13,120,098,849
5. Step 5: Solve for x
   x = 13,120,098,849/78,090
6. Step 6: Final answer
   x = 168,012.53