Finding the Third Proportional to 214,026 and 506,152.50

Step by Step Solution

1. Step 1: Write the proportion equation
   214,026 : 506,152.50 = 506,152.50 : x
2. Step 2: Convert to fraction form
   214,026/506,152.50 = 506,152.50/x
3. Step 3: Cross multiply
   214,026x = 506,152.50 × 506,152.50
4. Step 4: Simplify right side
   214,026x = 256,190,353,256.25
5. Step 5: Solve for x
   x = 256,190,353,256.25/214,026
6. Step 6: Final answer
   x = 1,197,005.75