Finding the Third Proportional to 77,533.50 and 116,301

Step by Step Solution

1. Step 1: Write the proportion equation
   77,533.50 : 116,301 = 116,301 : x
2. Step 2: Convert to fraction form
   77,533.50/116,301 = 116,301/x
3. Step 3: Cross multiply
   77,533.50x = 116,301 × 116,301
4. Step 4: Simplify right side
   77,533.50x = 13,525,922,601
5. Step 5: Solve for x
   x = 13,525,922,601/77,533.50
6. Step 6: Final answer
   x = 174,452.63