Finding the Third Proportional to 156,778 and 224,106

Step by Step Solution

1. Step 1: Write the proportion equation
   156,778 : 224,106 = 224,106 : x
2. Step 2: Convert to fraction form
   156,778/224,106 = 224,106/x
3. Step 3: Cross multiply
   156,778x = 224,106 × 224,106
4. Step 4: Simplify right side
   156,778x = 50,223,499,236
5. Step 5: Solve for x
   x = 50,223,499,236/156,778
6. Step 6: Final answer
   x = 320,347.88