Finding the Third Proportional to 97,067 and 152,297.50

Step by Step Solution

1. Step 1: Write the proportion equation
   97,067 : 152,297.50 = 152,297.50 : x
2. Step 2: Convert to fraction form
   97,067/152,297.50 = 152,297.50/x
3. Step 3: Cross multiply
   97,067x = 152,297.50 × 152,297.50
4. Step 4: Simplify right side
   97,067x = 23,194,528,506.25
5. Step 5: Solve for x
   x = 23,194,528,506.25/97,067
6. Step 6: Final answer
   x = 238,953.80