Finding the Third Proportional to 97,386 and 152,229.50

Step by Step Solution

1. Step 1: Write the proportion equation
   97,386 : 152,229.50 = 152,229.50 : x
2. Step 2: Convert to fraction form
   97,386/152,229.50 = 152,229.50/x
3. Step 3: Cross multiply
   97,386x = 152,229.50 × 152,229.50
4. Step 4: Simplify right side
   97,386x = 23,173,820,670.25
5. Step 5: Solve for x
   x = 23,173,820,670.25/97,386
6. Step 6: Final answer
   x = 237,958.44