Finding the Third Proportional to 101,308 and 156,876

Step by Step Solution

1. Step 1: Write the proportion equation
   101,308 : 156,876 = 156,876 : x
2. Step 2: Convert to fraction form
   101,308/156,876 = 156,876/x
3. Step 3: Cross multiply
   101,308x = 156,876 × 156,876
4. Step 4: Simplify right side
   101,308x = 24,610,079,376
5. Step 5: Solve for x
   x = 24,610,079,376/101,308
6. Step 6: Final answer
   x = 242,923.36