Finding the Third Proportional to 77,032 and 165,561.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,032 : 165,561.50 = 165,561.50 : x
2. Step 2: Convert to fraction form
   77,032/165,561.50 = 165,561.50/x
3. Step 3: Cross multiply
   77,032x = 165,561.50 × 165,561.50
4. Step 4: Simplify right side
   77,032x = 27,410,610,282.25
5. Step 5: Solve for x
   x = 27,410,610,282.25/77,032
6. Step 6: Final answer
   x = 355,834.07