Finding the Third Proportional to 97,689.75 and 212,875.50

Step by Step Solution

1. Step 1: Write the proportion equation
   97,689.75 : 212,875.50 = 212,875.50 : x
2. Step 2: Convert to fraction form
   97,689.75/212,875.50 = 212,875.50/x
3. Step 3: Cross multiply
   97,689.75x = 212,875.50 × 212,875.50
4. Step 4: Simplify right side
   97,689.75x = 45,315,978,500.25
5. Step 5: Solve for x
   x = 45,315,978,500.25/97,689.75
6. Step 6: Final answer
   x = 463,876.49