Finding the Third Proportional to 214,083 and 506,287.50

Step by Step Solution

1. Step 1: Write the proportion equation
   214,083 : 506,287.50 = 506,287.50 : x
2. Step 2: Convert to fraction form
   214,083/506,287.50 = 506,287.50/x
3. Step 3: Cross multiply
   214,083x = 506,287.50 × 506,287.50
4. Step 4: Simplify right side
   214,083x = 256,327,032,656.25
5. Step 5: Solve for x
   x = 256,327,032,656.25/214,083
6. Step 6: Final answer
   x = 1,197,325.49