Finding the Third Proportional to 106,142 and 156,783

Step by Step Solution

1. Step 1: Write the proportion equation
   106,142 : 156,783 = 156,783 : x
2. Step 2: Convert to fraction form
   106,142/156,783 = 156,783/x
3. Step 3: Cross multiply
   106,142x = 156,783 × 156,783
4. Step 4: Simplify right side
   106,142x = 24,580,909,089
5. Step 5: Solve for x
   x = 24,580,909,089/106,142
6. Step 6: Final answer
   x = 231,585.13