Finding the Third Proportional to 97,205 and 152,287.50

Step by Step Solution

1. Step 1: Write the proportion equation
   97,205 : 152,287.50 = 152,287.50 : x
2. Step 2: Convert to fraction form
   97,205/152,287.50 = 152,287.50/x
3. Step 3: Cross multiply
   97,205x = 152,287.50 × 152,287.50
4. Step 4: Simplify right side
   97,205x = 23,191,482,656.25
5. Step 5: Solve for x
   x = 23,191,482,656.25/97,205
6. Step 6: Final answer
   x = 238,583.23