Finding the Third Proportional to 100,680 and 235,140

Step by Step Solution

1. Step 1: Write the proportion equation
   100,680 : 235,140 = 235,140 : x
2. Step 2: Convert to fraction form
   100,680/235,140 = 235,140/x
3. Step 3: Cross multiply
   100,680x = 235,140 × 235,140
4. Step 4: Simplify right side
   100,680x = 55,290,819,600
5. Step 5: Solve for x
   x = 55,290,819,600/100,680
6. Step 6: Final answer
   x = 549,173.81