Finding the Third Proportional to 77,142 and 156,430.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,142 : 156,430.50 = 156,430.50 : x
2. Step 2: Convert to fraction form
   77,142/156,430.50 = 156,430.50/x
3. Step 3: Cross multiply
   77,142x = 156,430.50 × 156,430.50
4. Step 4: Simplify right side
   77,142x = 24,470,501,330.25
5. Step 5: Solve for x
   x = 24,470,501,330.25/77,142
6. Step 6: Final answer
   x = 317,213.73