Finding the Third Proportional to 101,088.50 and 156,558.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,088.50 : 156,558.50 = 156,558.50 : x
2. Step 2: Convert to fraction form
   101,088.50/156,558.50 = 156,558.50/x
3. Step 3: Cross multiply
   101,088.50x = 156,558.50 × 156,558.50
4. Step 4: Simplify right side
   101,088.50x = 24,510,563,922.25
5. Step 5: Solve for x
   x = 24,510,563,922.25/101,088.50
6. Step 6: Final answer
   x = 242,466.39