Finding the Third Proportional to 97,410 and 146,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   97,410 : 146,758.50 = 146,758.50 : x
2. Step 2: Convert to fraction form
   97,410/146,758.50 = 146,758.50/x
3. Step 3: Cross multiply
   97,410x = 146,758.50 × 146,758.50
4. Step 4: Simplify right side
   97,410x = 21,538,057,322.25
5. Step 5: Solve for x
   x = 21,538,057,322.25/97,410
6. Step 6: Final answer
   x = 221,107.25