Finding the Third Proportional to 130,980 and 186,871.50

Step by Step Solution

1. Step 1: Write the proportion equation
   130,980 : 186,871.50 = 186,871.50 : x
2. Step 2: Convert to fraction form
   130,980/186,871.50 = 186,871.50/x
3. Step 3: Cross multiply
   130,980x = 186,871.50 × 186,871.50
4. Step 4: Simplify right side
   130,980x = 34,920,957,512.25
5. Step 5: Solve for x
   x = 34,920,957,512.25/130,980
6. Step 6: Final answer
   x = 266,612.90