Finding the Third Proportional to 266,535 and 381,145.50

Step by Step Solution

1. Step 1: Write the proportion equation
   266,535 : 381,145.50 = 381,145.50 : x
2. Step 2: Convert to fraction form
   266,535/381,145.50 = 381,145.50/x
3. Step 3: Cross multiply
   266,535x = 381,145.50 × 381,145.50
4. Step 4: Simplify right side
   266,535x = 145,271,892,170.25
5. Step 5: Solve for x
   x = 145,271,892,170.25/266,535
6. Step 6: Final answer
   x = 545,038.71