Finding the Third Proportional to 102,036 and 158,602.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,036 : 158,602.50 = 158,602.50 : x
2. Step 2: Convert to fraction form
   102,036/158,602.50 = 158,602.50/x
3. Step 3: Cross multiply
   102,036x = 158,602.50 × 158,602.50
4. Step 4: Simplify right side
   102,036x = 25,154,753,006.25
5. Step 5: Solve for x
   x = 25,154,753,006.25/102,036
6. Step 6: Final answer
   x = 246,528.22