Finding the Third Proportional to 190,875 and 286,195.50

Step by Step Solution

1. Step 1: Write the proportion equation
   190,875 : 286,195.50 = 286,195.50 : x
2. Step 2: Convert to fraction form
   190,875/286,195.50 = 286,195.50/x
3. Step 3: Cross multiply
   190,875x = 286,195.50 × 286,195.50
4. Step 4: Simplify right side
   190,875x = 81,907,864,220.25
5. Step 5: Solve for x
   x = 81,907,864,220.25/190,875
6. Step 6: Final answer
   x = 429,117.82