Finding the Third Proportional to 130,014 and 182,551.50

Step by Step Solution

1. Step 1: Write the proportion equation
   130,014 : 182,551.50 = 182,551.50 : x
2. Step 2: Convert to fraction form
   130,014/182,551.50 = 182,551.50/x
3. Step 3: Cross multiply
   130,014x = 182,551.50 × 182,551.50
4. Step 4: Simplify right side
   130,014x = 33,325,050,152.25
5. Step 5: Solve for x
   x = 33,325,050,152.25/130,014
6. Step 6: Final answer
   x = 256,318.94