Finding the Third Proportional to 32,088 and 77,301

Step by Step Solution

1. Step 1: Write the proportion equation
   32,088 : 77,301 = 77,301 : x
2. Step 2: Convert to fraction form
   32,088/77,301 = 77,301/x
3. Step 3: Cross multiply
   32,088x = 77,301 × 77,301
4. Step 4: Simplify right side
   32,088x = 5,975,444,601
5. Step 5: Solve for x
   x = 5,975,444,601/32,088
6. Step 6: Final answer
   x = 186,220.54