Finding the Third Proportional to 214,089 and 506,302.50

Step by Step Solution

1. Step 1: Write the proportion equation
   214,089 : 506,302.50 = 506,302.50 : x
2. Step 2: Convert to fraction form
   214,089/506,302.50 = 506,302.50/x
3. Step 3: Cross multiply
   214,089x = 506,302.50 × 506,302.50
4. Step 4: Simplify right side
   214,089x = 256,342,221,506.25
5. Step 5: Solve for x
   x = 256,342,221,506.25/214,089
6. Step 6: Final answer
   x = 1,197,362.88