Finding the Third Proportional to 84,897 and 114,889.50

Step by Step Solution

1. Step 1: Write the proportion equation
   84,897 : 114,889.50 = 114,889.50 : x
2. Step 2: Convert to fraction form
   84,897/114,889.50 = 114,889.50/x
3. Step 3: Cross multiply
   84,897x = 114,889.50 × 114,889.50
4. Step 4: Simplify right side
   84,897x = 13,199,597,210.25
5. Step 5: Solve for x
   x = 13,199,597,210.25/84,897
6. Step 6: Final answer
   x = 155,477.78