Finding the Third Proportional to 97,695 and 146,632.50

Step by Step Solution

1. Step 1: Write the proportion equation
   97,695 : 146,632.50 = 146,632.50 : x
2. Step 2: Convert to fraction form
   97,695/146,632.50 = 146,632.50/x
3. Step 3: Cross multiply
   97,695x = 146,632.50 × 146,632.50
4. Step 4: Simplify right side
   97,695x = 21,501,090,056.25
5. Step 5: Solve for x
   x = 21,501,090,056.25/97,695
6. Step 6: Final answer
   x = 220,083.83