Finding the Third Proportional to 130,786 and 185,112.50

Step by Step Solution

1. Step 1: Write the proportion equation
   130,786 : 185,112.50 = 185,112.50 : x
2. Step 2: Convert to fraction form
   130,786/185,112.50 = 185,112.50/x
3. Step 3: Cross multiply
   130,786x = 185,112.50 × 185,112.50
4. Step 4: Simplify right side
   130,786x = 34,266,637,656.25
5. Step 5: Solve for x
   x = 34,266,637,656.25/130,786
6. Step 6: Final answer
   x = 262,005.40