Finding the Third Proportional to 101,984 and 216,123

Step by Step Solution

1. Step 1: Write the proportion equation
   101,984 : 216,123 = 216,123 : x
2. Step 2: Convert to fraction form
   101,984/216,123 = 216,123/x
3. Step 3: Cross multiply
   101,984x = 216,123 × 216,123
4. Step 4: Simplify right side
   101,984x = 46,709,151,129
5. Step 5: Solve for x
   x = 46,709,151,129/101,984
6. Step 6: Final answer
   x = 458,004.70