Finding the Third Proportional to 100,983 and 156,356.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,983 : 156,356.50 = 156,356.50 : x
2. Step 2: Convert to fraction form
   100,983/156,356.50 = 156,356.50/x
3. Step 3: Cross multiply
   100,983x = 156,356.50 × 156,356.50
4. Step 4: Simplify right side
   100,983x = 24,447,355,092.25
5. Step 5: Solve for x
   x = 24,447,355,092.25/100,983
6. Step 6: Final answer
   x = 242,093.77