Finding the Third Proportional to 101,034 and 156,870

Step by Step Solution

1. Step 1: Write the proportion equation
   101,034 : 156,870 = 156,870 : x
2. Step 2: Convert to fraction form
   101,034/156,870 = 156,870/x
3. Step 3: Cross multiply
   101,034x = 156,870 × 156,870
4. Step 4: Simplify right side
   101,034x = 24,608,196,900
5. Step 5: Solve for x
   x = 24,608,196,900/101,034
6. Step 6: Final answer
   x = 243,563.52