Finding the Third Proportional to 100,858 and 156,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,858 : 156,164.50 = 156,164.50 : x
2. Step 2: Convert to fraction form
   100,858/156,164.50 = 156,164.50/x
3. Step 3: Cross multiply
   100,858x = 156,164.50 × 156,164.50
4. Step 4: Simplify right side
   100,858x = 24,387,351,060.25
5. Step 5: Solve for x
   x = 24,387,351,060.25/100,858
6. Step 6: Final answer
   x = 241,798.88