Finding the Third Proportional to 130,371 and 185,962.50

Step by Step Solution

1. Step 1: Write the proportion equation
   130,371 : 185,962.50 = 185,962.50 : x
2. Step 2: Convert to fraction form
   130,371/185,962.50 = 185,962.50/x
3. Step 3: Cross multiply
   130,371x = 185,962.50 × 185,962.50
4. Step 4: Simplify right side
   130,371x = 34,582,051,406.25
5. Step 5: Solve for x
   x = 34,582,051,406.25/130,371
6. Step 6: Final answer
   x = 265,258.77