Finding the Third Proportional to 82,827,667.50 and 180,199,612

Step by Step Solution

1. Step 1: Write the proportion equation
   82,827,667.50 : 180,199,612 = 180,199,612 : x
2. Step 2: Convert to fraction form
   82,827,667.50/180,199,612 = 180,199,612/x
3. Step 3: Cross multiply
   82,827,667.50x = 180,199,612 × 180,199,612
4. Step 4: Simplify right side
   82,827,667.50x = 32,471,900,164,950,544
5. Step 5: Solve for x
   x = 32,471,900,164,950,544/82,827,667.50
6. Step 6: Final answer
   x = 392,041,707.14