Finding the Third Proportional to 101,078 and 156,948.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,078 : 156,948.50 = 156,948.50 : x
2. Step 2: Convert to fraction form
   101,078/156,948.50 = 156,948.50/x
3. Step 3: Cross multiply
   101,078x = 156,948.50 × 156,948.50
4. Step 4: Simplify right side
   101,078x = 24,632,831,652.25
5. Step 5: Solve for x
   x = 24,632,831,652.25/101,078
6. Step 6: Final answer
   x = 243,701.22