Finding the Third Proportional to 97,199 and 152,147

Step by Step Solution

1. Step 1: Write the proportion equation
   97,199 : 152,147 = 152,147 : x
2. Step 2: Convert to fraction form
   97,199/152,147 = 152,147/x
3. Step 3: Cross multiply
   97,199x = 152,147 × 152,147
4. Step 4: Simplify right side
   97,199x = 23,148,709,609
5. Step 5: Solve for x
   x = 23,148,709,609/97,199
6. Step 6: Final answer
   x = 238,157.90