Finding the Third Proportional to 116,784 and 180,622.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,784 : 180,622.50 = 180,622.50 : x
2. Step 2: Convert to fraction form
   116,784/180,622.50 = 180,622.50/x
3. Step 3: Cross multiply
   116,784x = 180,622.50 × 180,622.50
4. Step 4: Simplify right side
   116,784x = 32,624,487,506.25
5. Step 5: Solve for x
   x = 32,624,487,506.25/116,784
6. Step 6: Final answer
   x = 279,357.51