Finding the Third Proportional to 77,889 and 111,001.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,889 : 111,001.50 = 111,001.50 : x
2. Step 2: Convert to fraction form
   77,889/111,001.50 = 111,001.50/x
3. Step 3: Cross multiply
   77,889x = 111,001.50 × 111,001.50
4. Step 4: Simplify right side
   77,889x = 12,321,333,002.25
5. Step 5: Solve for x
   x = 12,321,333,002.25/77,889
6. Step 6: Final answer
   x = 158,190.93