Finding the Third Proportional to 111,583 and 156,070

Step by Step Solution

1. Step 1: Write the proportion equation
   111,583 : 156,070 = 156,070 : x
2. Step 2: Convert to fraction form
   111,583/156,070 = 156,070/x
3. Step 3: Cross multiply
   111,583x = 156,070 × 156,070
4. Step 4: Simplify right side
   111,583x = 24,357,844,900
5. Step 5: Solve for x
   x = 24,357,844,900/111,583
6. Step 6: Final answer
   x = 218,293.51