Finding the Third Proportional to 97,212 and 152,298

Step by Step Solution

1. Step 1: Write the proportion equation
   97,212 : 152,298 = 152,298 : x
2. Step 2: Convert to fraction form
   97,212/152,298 = 152,298/x
3. Step 3: Cross multiply
   97,212x = 152,298 × 152,298
4. Step 4: Simplify right side
   97,212x = 23,194,680,804
5. Step 5: Solve for x
   x = 23,194,680,804/97,212
6. Step 6: Final answer
   x = 238,598.95