Finding the Third Proportional to 97,776 and 146,230.50

Step by Step Solution

1. Step 1: Write the proportion equation
   97,776 : 146,230.50 = 146,230.50 : x
2. Step 2: Convert to fraction form
   97,776/146,230.50 = 146,230.50/x
3. Step 3: Cross multiply
   97,776x = 146,230.50 × 146,230.50
4. Step 4: Simplify right side
   97,776x = 21,383,359,130.25
5. Step 5: Solve for x
   x = 21,383,359,130.25/97,776
6. Step 6: Final answer
   x = 218,697.42