Finding the Third Proportional to 97,067.50 and 152,298.25

Step by Step Solution

1. Step 1: Write the proportion equation
   97,067.50 : 152,298.25 = 152,298.25 : x
2. Step 2: Convert to fraction form
   97,067.50/152,298.25 = 152,298.25/x
3. Step 3: Cross multiply
   97,067.50x = 152,298.25 × 152,298.25
4. Step 4: Simplify right side
   97,067.50x = 23,194,756,953.06
5. Step 5: Solve for x
   x = 23,194,756,953.06/97,067.50
6. Step 6: Final answer
   x = 238,954.92