Finding the Third Proportional to 97,283 and 213,018.50

Step by Step Solution

1. Step 1: Write the proportion equation
   97,283 : 213,018.50 = 213,018.50 : x
2. Step 2: Convert to fraction form
   97,283/213,018.50 = 213,018.50/x
3. Step 3: Cross multiply
   97,283x = 213,018.50 × 213,018.50
4. Step 4: Simplify right side
   97,283x = 45,376,881,342.25
5. Step 5: Solve for x
   x = 45,376,881,342.25/97,283
6. Step 6: Final answer
   x = 466,442.04