Finding the Third Proportional to 314,199 and 466,924.50

Step by Step Solution

1. Step 1: Write the proportion equation
   314,199 : 466,924.50 = 466,924.50 : x
2. Step 2: Convert to fraction form
   314,199/466,924.50 = 466,924.50/x
3. Step 3: Cross multiply
   314,199x = 466,924.50 × 466,924.50
4. Step 4: Simplify right side
   314,199x = 218,018,488,700.25
5. Step 5: Solve for x
   x = 218,018,488,700.25/314,199
6. Step 6: Final answer
   x = 693,886.64