Finding the Third Proportional to 75,364 and 116,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,364 : 116,641.50 = 116,641.50 : x
2. Step 2: Convert to fraction form
   75,364/116,641.50 = 116,641.50/x
3. Step 3: Cross multiply
   75,364x = 116,641.50 × 116,641.50
4. Step 4: Simplify right side
   75,364x = 13,605,239,522.25
5. Step 5: Solve for x
   x = 13,605,239,522.25/75,364
6. Step 6: Final answer
   x = 180,527.04