Finding the Third Proportional to 75,888 and 114,076.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,888 : 114,076.50 = 114,076.50 : x
2. Step 2: Convert to fraction form
   75,888/114,076.50 = 114,076.50/x
3. Step 3: Cross multiply
   75,888x = 114,076.50 × 114,076.50
4. Step 4: Simplify right side
   75,888x = 13,013,447,852.25
5. Step 5: Solve for x
   x = 13,013,447,852.25/75,888
6. Step 6: Final answer
   x = 171,482.29